biased sample!

A chance occurrence led me to this thread on R-devel about R sample function generating a bias by taking the integer part of the continuous uniform generator… And then to the note by Kellie Ottoboni and Philip Stark analysing the reason, namely the fact that R uniform [0,1) pseudo-random generator is not perfectly continuously uniform but discrete, by the nature of numbers on a computer. Knuth (1997) showed that in this case the range of probabilities is larger than (1,1), the largest range being (1,1.03). As noted in the note, exploiting directly the pseudo-random bits of the pseudo-random generator. Shocking, isn’t it!  A fast and bias-free alternative suggested by Lemire is available as dqsample::sample

As an update of June 2019, sample is now fixed.

3 Responses to “biased sample!”

  1. I believe the new version of R (which is version 3.6.0 released on 26th April) may have addressed this issue, since one of its new features is:

    “The default method for generating from a discrete uniform distribution (used in sample(), for instance) has been changed. This addresses the fact, pointed out by Ottoboni and Stark, that the previous method made sample() noticeably non-uniform on large populations.”

    If so, it is good to know that this defect has (finally!) been taken into account.

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